I noticed that some long lines in the Fractint par file in my last post wrapped while being emailed/posted. They make Fractint unhappy trying to read them if you just grab them & paste them into a file. I shortened the lines below and they test as correct. For correct "final" images, be sure to use periodicity set to zero on the Passes Options screen -- type: <P> to set periodicity. (And set passes=1, too.) I added "periodicity=6" to the parms since I found I was getting Fractint's default periodicity=1 and an *inaccurate* image -- all too easily. - Hal ----- Corrected info & parm files -------------------------- Using: - Sciwise's corrected formula code (with his initialization mod above), - the same parm values as in the original 1993 post, - centered at (0, 0) with magnification 1.0, - with //periodicity set to zero// (to guarantee an accurate image -- at the expense of speed), produces this (anti-aliased) image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS00.jpg (Click image to defeat browser resampling if needed.) And with a Paul Carlsonesque color map (taken from one of Albrect's parm files, I believe) the same image looks like this: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg This is the par file and formula used for the above VHeunS00.jpg image: --- Start of PAR file --------------------------------------------- VHeunS00 { ; sciwise's Volterra Lotka formula ; (with modified initialization) ; and bailout repair used. ; p, h variable. ; ; pars - taken from post with the 1993 V-Heun formula. ; frm - sciwise's modified ver of 1993 V-Heun formula: ; "V-HeunPH", repaired. ; reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.0/0.0/1.0 periodicity=6 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=@blues.map } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR file ------------------------------------- Here's my parms with a Paul Carlson-esque color map: This is the par file and formula used for the VHeunS01.jpg image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg --- Start of PAR file --------------------------------------------- VltLotk1 { ; My parms w Carlsonesque color map reset=2004 type=formula formulafile=mfr_14.frm formulaname=V-HeunPH passes=1 center-mag=0.0/0.0/1.0 periodicity=6 params=0.8/0.8 float=y maxiter=512 inside=zmag periodicity=0 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\

kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 }

frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR file ------------------------------------- - Hal Lane ######################## # hallane@earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus